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The following question is taken from the June 2013 exam paper.

An additive time series has the following trend and seasonal variations:

Trend Y=4,000 + 6X where Y= sales in units

X is the number of quarters, with the first quarter of 2014 being 1, the second quarter of 2014 being 2 etc. Seasonal variation

Quarter                              1       2     3       4

Quarterly variation (units)  -4     -2    +1    +5

What is the forecast sales volume for the fourth quarter of 2015?

A

4,029

B

4,043

C

4,048

D

4,053

Quality control costs can be categorised into internal and external failure costs, inspection costs and prevention costs. In which of these four classifications would the following costs be included?

The costs of a customer service team

The cost of equipment maintenance

The cost of operating test equipment

                                                           Internal failure costs     External failure costs      Inspection costs     Prevention costs

Cost of the a customer service team    

Cost of equipment maintenance    

Cost of operating test equipment    

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58

【单项选择题】

What are the equivalent units for closing work-in-progress at the end of the month?

A

Material        Conversion costs

25 litres         25 litres

B

Material       Conversion costs

25 litres        50  litres

C

Material           Conversion costs

50 litres           25 litres

D

Material           Conversion costs

50 litres            50 litres

 If there had been a normal process loss of 10% of input during the month what would the value of this loss have been?

A

Nil

B

$450

C

$600

D

$1,050

The trend for monthly sales ($Y) is related to the month (t) by the equation Y = 1,500 - 3t where t = 1 in the first month of 20X8. What are the forecast sales (to the nearest dollar) for the first month of 20X9 if the seasonal component for that month is 0.92 using a multiplicative model?

A

$1,377

B

$17,904

C

$1,344

D

$1,462

Which of the following are necessary if forecasts obtained from a time series analysis are to be reliable? (i) The trend must not be increasing or decreasing (ii) The trend must continue as in the past (iii) Extrapolation must not be used (iv) The same pattern of seasonal variation must continue as in the past

A

(i) only

B

(i) and (ii) only

C

(ii) and (iv) only

D

(i) and (iii) only

Under which of the following circumstances would a multiplicative model be preferred to an additive model in time series analysis?

A

When a model easily understood by non-accountants is required

B

When the trend is increasing or decreasing

C

When the trend is steady

D

When accurate forecasts are required

A company's annual profits have a trend line given by Y = 20t - 10, where Y is the trend in $'000 and t is the year with t = 0 in 20X0.What are the forecast profits for the year 20X9 using an additive model if the cyclical component for that year is -30?

A

$160,000

B

$140,000

C

$119,000

D

$60,000

In January, the unemployment in Ruritania is 567,800. If the seasonal factor using an additive time series model is +90,100, what is the seasonally-adjusted level of unemployment (to the nearest whole number)?

A

90,100

B

477,700

C

567,800

D

657,900

The following statements relate to Paasche and Laspeyre indices.(i) Constructing a Paasche index is generally more costly than a Laspeyre index(ii) With a Laspeyre index, comparisons can only be drawn directly between the current year and the base yearWhich statements are true?

A

Both statements are true

B

Both statements are false

C

(i) is true and (ii) is false

D

(iI) is true and (i) is false